| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.22 |
| Score | 0% | 64% |
The dimensions of this cube are height (h) = 3, length (l) = 8, and width (w) = 2. What is the volume?
| 18 | |
| 64 | |
| 192 | |
| 48 |
The volume of a cube is height x length x width:
v = h x l x w
v = 3 x 8 x 2
v = 48
What is 8a - 7a?
| 56a2 | |
| 1a | |
| 15a2 | |
| 15 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
8a - 7a = 1a
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
|
equal length |
|
right angle |
|
equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Which of the following statements about parallel lines with a transversal is not correct?
same-side interior angles are complementary and equal each other |
|
all acute angles equal each other |
|
all of the angles formed by a transversal are called interior angles |
|
angles in the same position on different parallel lines are called corresponding angles |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).
The dimensions of this trapezoid are a = 6, b = 2, c = 7, d = 5, and h = 4. What is the area?
| 14 | |
| 11 | |
| 13\(\frac{1}{2}\) | |
| 16 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(2 + 5)(4)
a = ½(7)(4)
a = ½(28) = \( \frac{28}{2} \)
a = 14